Four-point curve subdivision based on iterated chordal and centripetal parameterizations

@article{Dyn2009FourpointCS,
  title={Four-point curve subdivision based on iterated chordal and centripetal parameterizations},
  author={Nira Dyn and Michael S. Floater and Kai Hormann},
  journal={Computer Aided Geometric Design},
  year={2009},
  volume={26},
  pages={279-286}
}
Dubuc’s interpolatory four-point scheme inserts a new point by fitting a cubic polynomial to neighbouring points over uniformly spaced parameter values. In this paper we replace uniform parameter values by chordal and centripetal ones. Since we update the parameterization at each refinement level, both schemes are non-linear. Because of this data-dependent parameterization, the schemes are only invariant under solid body and isotropic scaling transformations, but not under general affine… CONTINUE READING

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